Research profile
Works on rotational symmetry & warped products and Ricci solitons.
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Their work in this field since 2016, with the older papers the site recommends. Titles open each paper's page, with its abstract, PDF and HTML versions; Connections shows the papers closest to it. The arXiv listing has the complete record.
We study gradient Ricci solitons warped products whose base is the Euclidean space. We show that the warping functions of these manifolds are invariant under the (n-1)-dimensional translation group. We characterize the potential function when the torsion function depends only on one variable, which is a particular case of invariance by translation. From this study, we derive complete examples of expanding gradient Ricci solitons.
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NP-RC-507391 is Marcio de Sousa's permanent number in the Ricci flow community on Neckpinch. It stays with them through any change of name or post. More about these numbers.
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